Find the horizontal asymptotes of the function's graph y = 200 / (1+10e^(0.5x)) If you let x > minus infinty the exponential tends to zero and the function approaches 200. If x > infinity then the exponential becomes infinite and
132,479 results
Algebra
Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the yintercept of each function and any asymptotes of each function. So far I have: Y=5^x : D: ?? R:

calculus
Find a formula for a function that has vertical asymptotes at x=7 and x=9 and a horizontal asymptote at y=7

****college algebra…radical functions****
Create a rational function such that the graph of has vertical asymptotes at x=5 and x= 7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions

MATH
Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x and yintercepts on your graph. Label the asymptotes and

pre cal
Find a possible formula for the function graphed below. Assume the function has only one xintercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula as a reduced rational

Math  Domain and Asymptotes
Given the following rational function: f(x) = (x^2 + 6x  8) / (x – 5) (a) state the domain. (b) find the vertical and horizontal asymptotes, if any. (c) find the oblique asymptotes, if any.

Gr.11  Rational functions graphing.
1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the xaxis and has a single vertical asymptote. Graph the function. 3. Identify a

algebra
Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x and yintercepts on your graph. Label the asymptotes and

math
Find a formula for a function that has vertical asymptotes x = 3 and x = 6 and horizontal asymptote y = 3.

Calculus
Let f(x)=(4x^2 7x +2)/(x^2 16x +63) Find the equations of the horizontal asymptotes and the vertical asymptotes of f(x). If there are no asymptotes of a given type, enter NONE. If there is more than one asymptote of a given type, give a comma separated

Math (Integrals)
The area A between the graph of the function: g(t) = 4  (4/t^2) and the taxis over the interval [1, x] is: A(x) = ∫[1, x] (4  (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph g is g(t) = 4. b)

Geomatry
For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. yintercept g. xintercepts 1. f(x)= x^2+x2 / x^2x6

gr11 math
The graph of y=1/(14x+90) has A horizontal asymptotes, B vertical asymptotes, and the graphs of the functions y = 14x + 90 and y=1/(14x+90) will intersect C times. The values of A, B, and C are...?

horizontal asymptote
Find the horizontal asymptotes of the function's graph y = 200 / (1+10e^(0.5x)) If you let x > minus infinty the exponential tends to zero and the function approaches 200. If x > infinity then the exponential becomes infinite and therefore the limit is

Algebra 2
Identify all horizontal and vertical asymptotes of the graph of the function. f(x)=x^2/x^24 I know the vertical asymptotes are x=2 and x=2, but how do I find the horizontal asymptotes?

math
For positive a, b, the potential energy, U, of a particle is given by U = b (a^2 over x^2  a over x) for x is greater than 0 a) find the xintercept b) find the asymptotes c)compute the local minimum d) sketch the graph I don't know how to start this

PreCalculus
I want to learn how to find the domain, holes, xintercepts, y intercepts, vertical asymptotes, and horizontal asymptotes of a rational function. I know it is against the rules in jiskha to do the homework for the students but if I have been looking over

ALGEBRAA
Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x and yintercepts on your graph. Label the asymptotes and

calculus
consider the function y=(ax+b)/(cx+d), where a,b,c,and d, are constants, a,c cannot equal 0. determine the horizontal and vertical asymptotes of the graph

MATHS Calculus
Find the vertical and horizontal asymptotes of the function F(x)=x=(√9x^2)/(2x+1)

Calculus
Find all vertical and horizontal asymptotes of the graph of the function. (Enter your answers as a commaseparated list.) f(x) = 5 − 3x/5 + 8x

algebra
Graph the function. Plot two points and the asymptotes of the graph of the function g(x)=3/2log(3 is lower next to log) (x2)1

calculus
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+e^4−x

College Algebra
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3x)+6

TRIG
I need to state the period and 2 consecutive asymptotes on the graph for the following questions. 1: y = 3 tan pi*x period: pi (?) asymptotes: ? 2: y = 2 sec 4x period: ? asymptotes: ? 3: y = csc (x/3) period: ? asymptotes: ? 4: y = 3 cot (pi*x/2) period:

College Algebra HELP
Use the seven step method described in the book to graph the following rational function f(x)=(2x^2+x3)/(2x^27x) 1) Determine the symmetry of the function 2) Find the yintercept 3) Find the xintercept 4) Find the vertical asymptotes 5) Find the

Calculus  derivatives of e
Find an equation of the tangent line to the graph of y = e^(−x^2) at the point (5, 1/(e^25)). My work: y' = 2xe^(x^2) y' when x = 5 = 10e^25 y  (1/e^25) = 10e^25 * (x  5) y = (10e^25) (x  5) + (1/e^25) This is incorrect. How?

Pre Calculus
a. Identify the horizontal asymptotes of the function f(x)=x+6 / x+1 ( / = divided by/over) b. Make a summary of how you may sketch a graph of this rational function.

Math
Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the yintercept of each function and any asymptotes of each function

math
help me ..... Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the

math
Find a possible formula for the function graphed below. Assume the function has only one 𝑥intercept at the origin, and the point marked on the graph below is located at (4,−23). The asymptotes are 𝑥=−2 and 𝑥=3. Give your formula as a reduced

Maths
Given the equation y=2x4 of an exponential function f 1)write down the equation of horizontal asymptote of f 2)determine the y intercept of f 3)determine the y value of a point on f with x=2 4)draw the graph of the function of f showing all critical

Calculus
Graph the following function. Find and state the domain, intercepts, asymptotes, intervals of increase and decrease, local extrema, concavity, and inflections points. F(x)=(x+1)/(square root(x^2+1)) I got so far... Domain: (infinity, infinity) Intercepts:

Math
Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x and yintercepts on your graph. Label the asymptotes and

precalculus
(A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^38)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=

math
weloo. Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute

PreCal
Identify any asymptotes of the graph. y = 1.08^5x I know that there is a horizontal asymptote but I do not know how to find it.

algebra
list the domain and the x and y intercepts of the following function. Graph the funciion. Graph the function. Be sure to label all the asymptotes.

analyze the graph of the function
analyze the graph of the function R(x)=x^212/x6 a) What is the domain of R(x)? b) What is the equation of the vertical asymptotes of R(x)? c) What is the equation of the horizontal or oblique asymptote of R(x)?

Algebra
Determine the holes, vertical asymptotes and horizontal asymptotes of the rational function y=(3x^(2)+8x10)/(x^(2)+7x+12) Hole: Vertical Asymptote: Horizontal Asymptote:

PreCal
use a graphing calculator to obtain the graph of the function. What do you observe about its asymptotes? g(x) = 4 [x2] / x + 1 My answer was there are two horizontal asymptotes. My teacher said that there are two asymptotes but she wants me to find the

Calculus
Suppose f(x)= e^(1/x). Graph this function in the window 5(

Calculus
Suppose f(x)= e^(1/x). Graph this function in the window 5(

PreCal
use a graphing calculator to obtain the graph of the function. What do you observe about its asymptotes? g(x) = 4 [x2] / x + 1 My answer was there are two horizontal asymptotes but it was wrong.

Algebra
Graph the rational function x/(x6) To graph the function, draw the horizontal and vertical asymptotes (if any) and plot at least two points on each piece of the graph.

ALGEBRA
Create a rational function with a linear binomial in both the numerator and denominator. Part 1. Graph your function using technology. Include the horizontal and vertical asymptotes and the x and yintercepts on your graph. Label the asymptotes and

Math
What is meant by the terms vertical and horizontal asymptotes Here is a nice graph with vertical and horizontal asymptotes. THe dotted lines are the asymptotes. http://www.mathnstuff.com/math/spoken/here/2class/300/fx/library/234/n1oxp4.gif

Math Functions
f(x)= 3x+2/2x+4 graph the function horizontal and vertical asymptotes. Show the table. I found the horizontal and vertical asymptotes, but im confused on how to do a table

math
g(x)=(2x^3+x^218x9)/(x^2+x6) A. Find the vertical asymptotes. b. find any holes. c. find any oblique or horizontal asymptotes. d. find if the graph crosses the oblique or horizontal asymptote.

Math
find a rational function that satisfies the given conditions vertical asymptotes x=6,x=7 horizontal asymptotes y=10/9 x intercepts (6,0)

College Algebra
Using the 7 steps outlined in section 4.3 of your book, analyze the graph of the following function: R(x) = x^2  49/x^4  16 Step 1: Factor the numerator and denominator of R and find its domain. If 0 is in the domain, find yintercept, R(0), and plot it.

Calc 1
True or False. Explain. The graph of any function can have at most two horizontal asymptotes.

Calculus
Sketch the graph of f(x)=x^4 + 4x^3  16x + 16: Find the critical points, concave up/down, inflection points, vertical asymptotes and horizontal asymptotes.

calculusplease check
analyze the graph of the function f(x)=x^2+x90/x+3 a. what is the domain? I think it is x‚3 (‡,3)(3‡) b. what is the equation of the vertical asymptote? is it x= 3 c. what is the horizontal asymptotes? none

pre cal
g(x) = x^2  x 12 / x + 1 I know the division brings it to x 2 + 10/x + 1 but these are the steps I have to follow 1. factor the numerator and denominator and find its domain. ( I know 0 is not in domain) 2. write in lowest ermas as p(x)/ q(x) and find

grade 12 math
Given the function f(x)= x^3+8/x^2+6, determine the eqaution of the asymptotes and state the end behaviours of the graph near the asymptotes.

Alegebra2
1. Given f(x)=3^(x2), simplify f(x+1)f(x) into an expression of the form (a)(3^x) 2. Given the function f(x)=e^(x) ln x, write the equation(s) for any and all asymptotes. If the graph has no asymptotes, state that fact.

Math
For homework we're supposed to give all the properties of different functions. I was able to do all of it except for this one greatest integer function  f(x) = 1/2 [x1] These functions always mess me up! Could someone tell me the following properties of

My Final Algebra 1 Question
Will someone evaluate my answers and guide me through answering the last two parts of the problem? Thank you. 5. Principal Farley has $200 to pay for some teachers to attend a technology conference. The company hosting the conference is allowing 2 teachers

college algebra
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane f(x)=4+e^x/3 please help me! show steps also, if i an just given an answer that wont help me! thanks in

PreCalc
Consider the function(7+15x^2)/(10x^2+9x+10). Find the function's domain and identify any horizontal and vertical asymptotes Please Help!

trig
I need to state the period and 2 consecutive asymptotes on the graph for the following questions. 1: y = 3 tan pi*x period: pi (?) asymptotes: ? 2: y = 2 sec 4x period: ? asymptotes: ? 3: y = csc (x/3) period: ? asymptotes: ? 4: y = 3 cot (pi*x/2) period:

PreCal (Please help)
Identify any asymptotes of the graph. y = 1.08^5x I know that there is a horizontal asymptote but I do not know how to find it.

pre calculus
Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^x + 5 Just looking at this gives me a

Algebra
Find the horizontal and oblique asymptotes, if any, for the given rational function G(x)=(x^41)/(3x^23x)

Algebra
Find the horizontal and oblique asymptotes, if any, for the given rational function G(x)=(x^41)/(3x^23x)

math help please...
1.Explain how to find the equation of the vertical asymptotes of a reciprocal function. 2.The reciprocal of a linear function and a quadratic function have the same horizontal asymptote. What is its equation? 3.Explain how to use end behaviour to find the

PreCal
State the transformations. Identify holes, vertical asymptotes, and horizontal asymptotes of each. (I'm fine with the asymptotes, just need help with stating the trandformations) f(x)= (3x+9)/(x+2)

math
𝑦 = (3x^2)/(x^24) Determine equation of vertical asymptotes. For vertical asymptotes, investigate function values on either side of the asymptote I know that the vertical asymptotes is located at x = 2, 2, but I don't understand what the questions

Precalculus
Can someone help me with this question? I got the transformation for horizontal shift and vertical shift, however, I don't know how to find the vertical/horizontal compression/stretch. 1. Describe the transformations that were applied to the parent

Astronomy
The hottest stars have surface temperatures of about 40,000 K. At what wavelength do they emit the most radiation? 7.2 x 10E6 cm 2.5 x 10E4 cm 4.0 x 10E2 cm 1.2 x 10E2 cm 1.4 x 10E6 cm

Seven step method
Use the seven step method described in the book to graph the following rational function f(x)=(2x^2+x3)/(2x^27x) 1) Determine the symmetry of the function 2) Find the yintercept 3) Find the xintercept 4) Find the vertical asymptotes 5) Find the

graph from asymptotes
Is it possible to roughly sketch a graph(without plotting the points) from the asymptotes of a rational function? Is yes, what are the rules? For example, if I have to sketch a graph of y = (2x^2+10x12)/x^2+x6), how do I do it? I got the vertical

calculus
Give a reasonable sketch, on the axes provided, of the graph of the function x/(x^21)^1/2 showing all characteristics. Use the following pieces to justify your sketch. a) Domain ? b) coordinates x and y intercepts ? c) Symmetry ? is the function odd,

calculus
For the function r(x)=x3+6x2x2−36, find the following. a. the y  intercept b. the x  intercepts c. all horizontal asymptotes. y = d. all vertical asymptotes. x =

PreCalculus
1) Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes. x+4/ x^2+x6. 2) Use a graphing utility to graph the function and determine the xintercepts and B. set y=0

PreCalc
1/x3 +1 Use a graphing utility to obtain the graph of the function. Give the domain of the function and identify any vertical or horizontal asymptotes.

mathplease help,need quickly
find the slant asymptote of the graphof the rational function. 1.f(x)=x^2x2/x7 y=? 2. determine the symmetry of the graph of f. a. the graph has yaxis symmetry f(x)=f(x) b. the graph has orgin symmetry f(x)= f(x) c. the graph has both yaxs and

College Algebra
1.Use completing the square to describe the graph of the following function. Support your answer graphically. f(x) = 2x^2 + 4x + 5 2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. R(x) = 5x/x+7 The

Calculus
Create a function that has a graph with the following features: Two vertical asymptotes: x=1, x=3. One horizontal: y = 1. And x intercepts= 2, 4 how about f(x) = ((x+2)(x4))/((3x)(x1)) ?

precalculus
Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^x/2+4

calculusplease check
analyze the graph of the function f(x)=x^2+x90/x+3 a. what is the domain? I think it is x‚3 (‡,3)(3‡) b. what is the equation of the vertical asymptote? is it x= 3 c. what is the horizontal asymptotes? none

PRECALC
I am given the rational function: f(x)= (x^3  1) / (x^2  4) I found that the domain is all real numbers except x= plus or minus 2 , I also found that the x intercept is x=1, however I do not get how to find: the yintercet , or identify the Horizontal,

algebra
For each of the rational functions find: a. domain b. holes c. vertical asymptotes d. horizontal asymptotes e. oblique asymptotes f. yintercept g. xintercepts 1. f(x)= x^2+x2 / x^2x6

precalculus
(A) find the domain of the function, (B) decide if the function is continuous, and (c) identify your horizontal and vertical asymptotes. F(x)= (3x^2+1)/(x^2+x+9) Find the zeros (if any) of the rational function. G(x)= (x^38)/x^2+4 H(x)=5 + 3/(x^2+1) G(x)=

Math
Determine the holes, vertical asymptotes and horizontal asymptotes of the rational function. y=3x^2+10x8/x^2+7x+12 Can you also show your work. I need to do corrections. I have a 68 I just need to get to a 70. This would mean so much to me if anybody

PreCal.
find the inverse of the following function. Find the domain, range,and asymptotes of each function. Graph both functions on the same coordinate plane. f(x)=3+lnx

pre calculus
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane. F(x)= ln(8x) I am totally lost, somebody please help????

math
Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the absolute extrema

math
help me ..... Consider the function f(x)= cos3x 4sin3x. (a)Find the equation of the line normal to the graph of f(x) when x= pie/6 . (b)Find the x coordinates of the points on the graph of f(x) where the tangent to the graph is horizontal. (c)Find the

Algebra 1
5. Principal Farley has $200 to pay for some teachers to attend a technology conference. The company hosting the conference is allowing 2 teachers to attend for free. The number of teachers y that can be sent to the conference is given by the function y =

Mathprecalc
Is it possible to find a rational function that has xintercepts (2,0) and (2,0), but has vertical asymptote x=1 and horizontal asymptote of y=0? The horizontal asymptote and the xintercepts parts stump me. If you can't reach y=0, then how can you get

Math
Explanation of how to find the asymptotes of the graph of a rational function.

math
A recently released film has its weekly revenue given by Where R(x) is in million of dollars and x is in weeks. (a) Find the asymptotes of the graph of the function R. (b) Find the intervals where R is increasing and decreasing, if any. (c) When will the

Find the horizontal and oblique asymptotes
Find the horizontal and oblique asymptotes, if any, for the given rational function G(x)=(x^41)/(3x^23x)

algebra
Find the inverse of the following function. Find the domain, range, and asymptotes of each function. Graph both functions on the same coordinate plane x/3 f(x)=4+e ( if this makes sense, not sure how else to show it. the x/3 is after the e like x/3 to

Calculus (pleas help!!!)
Please answer the following questions about the function f(x)=e^(0.5x^2) Instructions: If you are asked to find x or yvalues, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if

Calculus (pleas help!!!)
Please answer the following questions about the function f(x)=e^(0.5x^2) Instructions: If you are asked to find x or yvalues, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if

Calculus (urgent!!)
Please answer the following questions about the function f(x)=e^(0.5x^2) Instructions: If you are asked to find x or yvalues, enter either a number, a list of numbers separated by commas, or None if there aren't any solutions. Use interval notation if

calculus 1
how do i find all vertical and horizontal asymptotes for the function y= 3x^28x+25/x^2+7x18